To add -1 3/10 and -4 2/15, we need to first convert the mixed numbers to improper fractions.
-1 3/10 can be written as -10/10 + 3/10 = -13/10
-4 2/15 can be written as -60/15 + 2/15 = -58/15
Now, we can add the fractions:
-13/10 + -58/15
To find a common denominator, we can multiply the denominators together: 10 * 15 = 150
-13/10 needs to be multiplied by 15/15 to have a denominator of 150:
(-13/10) * (15/15) = -195/150
-58/15 needs to be multiplied by 10/10 to have a denominator of 150:
(-58/15) * (10/10) = -580/150
Now we can add the fractions:
-195/150 + -580/150 = (-195 - 580) / 150 = -775/150
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 25:
-775/150 = (-31 * 25) / (6 * 25) = -31/6
Therefore, -1 3/10 + -4 2/15 is equal to -31/6.
-1 3/10 + -4 2/15
3 answers
Add -1 3/10 + -4 2/15
1. -5 13/30
2. -2 5/6
3. -5 1/6
4. -5 1/5
1. -5 13/30
2. -2 5/6
3. -5 1/6
4. -5 1/5
To add -1 3/10 and -4 2/15, we need to first convert the mixed numbers to improper fractions.
-1 3/10 can be written as -10/10 + 3/10 = -13/10
-4 2/15 can be written as -60/15 + 2/15 = -58/15
Now, we can add the fractions:
-13/10 + -58/15
To find a common denominator, we can multiply the denominators together: 10 * 15 = 150
-13/10 needs to be multiplied by 15/15 to have a denominator of 150:
(-13/10) * (15/15) = -195/150
-58/15 needs to be multiplied by 10/10 to have a denominator of 150:
(-58/15) * (10/10) = -580/150
Now we can add the fractions:
-195/150 + -580/150 = (-195 - 580) / 150 = -775/150
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 25:
-775/150 = (-31 * 25) / (6 * 25) = -31/6
Therefore, the sum of -1 3/10 and -4 2/15 is -31/6, which can be written as -5 1/6.
So, the correct answer is 3. -5 1/6.
-1 3/10 can be written as -10/10 + 3/10 = -13/10
-4 2/15 can be written as -60/15 + 2/15 = -58/15
Now, we can add the fractions:
-13/10 + -58/15
To find a common denominator, we can multiply the denominators together: 10 * 15 = 150
-13/10 needs to be multiplied by 15/15 to have a denominator of 150:
(-13/10) * (15/15) = -195/150
-58/15 needs to be multiplied by 10/10 to have a denominator of 150:
(-58/15) * (10/10) = -580/150
Now we can add the fractions:
-195/150 + -580/150 = (-195 - 580) / 150 = -775/150
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 25:
-775/150 = (-31 * 25) / (6 * 25) = -31/6
Therefore, the sum of -1 3/10 and -4 2/15 is -31/6, which can be written as -5 1/6.
So, the correct answer is 3. -5 1/6.